| 拟双曲轨道的强跟踪性 |
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| 引用本文： | 邢春娜,韩英豪.拟双曲轨道的强跟踪性[J].莆田学院学报,2008,15(5). |
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| 作者姓名： | 邢春娜 韩英豪 |
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| 作者单位： | 1. 仰恩大学,数学系,福建,泉州,362014
2. 辽宁师范大学,数学学院,辽宁,大连,116029 |
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| 摘 要： | 设M是一个紧致n维C∞黎曼流形,f∈Diff(M),Λ是f的闭不变集合,并且Λ具有连续不变分解TΛM=E+F,则对任意的ε>0和λ∈(0,1),存在δ>0,使得对f的任意λ-拟双曲强δ-伪轨(xi,ni)i+=∞-∞都存在一点x∈M,强ε-跟踪(xi,ni)+i=∞-∞。
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| 关 键 词： | 拟双曲轨道 强跟踪性 拟双曲强伪轨 |
Strong Shadowing Property on a Quasi-hyperbolic Orbit |
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| XING Chun-na,HAN Ying-hao.Strong Shadowing Property on a Quasi-hyperbolic Orbit[J].journal of putian university,2008,15(5). |
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| Authors: | XING Chun-na HAN Ying-hao |
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| Institution: | XING Chun-na1,HAN Ying-hao2 ( 1. Department of Mathematics,Yang-En University,Quanzhou Fujian 362014,China,2. School of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China ) |
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| Abstract: | It is proved that the strong shadowing property on a quasi-hyperbolic orbit for a diffeomorphism on a compact C ∞ manifold M. Let f∈Diff(M), assume that ∧ is a closed invariant set of f and there is a continuous invariant splitting T∧ M = E+F on ∧, then for any ε>0 and λ∈(0, 1), there exists δ >0 such that for any λ-quasi-hyperbolic strong δ -pseudoorbit xi , ni, there is a point x∈M which strong ε-shadows {xi , ni.}+∞ i=-∞ |
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| Keywords: | quasi-hyperbolic orbit strong shadowing property quasi-hyperbolic strong pseudoorbit |
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